Transcript 1a. Introduction to Integers

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Integers
Integers are whole numbers that
describe opposite ideas in
mathematics.
 Integers can either be negative(-),
positive(+) or zero.
 The integer zero is neutral. It is
neither positive nor negative, but is
an integer.
 Integers can be represented on a
number line, which can help us
understand the valve of the integer.

Positive Integers





Are to the right of zero
Are valued greater than
zero.
Express ideas of up, a gain
or a profit.
The sign for a positive
integer is (+), however the
sign is not always needed.
Meaning +3 is the same
value as 3.
Negative Integers
Are to the left of zero
 Are valued less than
zero.
 Express ideas of down
or a lose.
 The sign for a negative
integer is (-). This sign
is always needed.

 Opposite
integers always have a
“net worth” of 0. This is called the
ZERO PRINCIPAL.
Opposite integer have the same “absolute
value”, meaning the distance from the points
on a number line to zero is the same.
 This can be referred to as the integers
magnitude.

Opposite Integers
Every integer
represents a magnitude
and a direction.
 The integer +3
describes a movement
of 3 units in a positive
direction.(right)
 The sign (+) tells you
the direction.
 The number (3)
indicates how far to
move or the
MAGNIUDE( a movement of 3 units)

Direction
+ 3
Movement on a Number Line
Magnitude and Direction
Magnitude
Which integer
has a higher
value?
-4 or -8
Comparing Integers
Use a number line to help you compare each set of
numbers. Copy the question and write two sentences for
each pair of numbers.
For the numbers 3 , - 2 = 3 > -2 -2 < 3)
a) - 6, 7
b) 12, 3
c)- 5,- 8
d) 11, - 15
e) - 7, - 4
f) - 3, - 7
g) 7, - 8
h) - 13, -14
i) 8, 7
j) - 8, - 7
k) 5, -1
l) 0, -2
m) 0, 3
n) - 5, 0
o) – 14, -10
p) - 9, 0
q) -7, -6
r) -1, 0
s) 4, -4
t) 0, -15
Comparing Integers Again

For each of the previous
questions (a) to (t), write a
new mathematical sentence
showing how much bigger or
smaller the first number is
than the second.

For example: 3, - 2
= 3 is 5 more than –2